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Finding the Fourth Proportional to 20,908.32, 31,363.44 and 7,057.44

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Solution

The fourth proportional to 20,908.32, 31,363.44 and 7,057.44 is: 10,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.32 : 31,363.44 = 7,057.44 : x
  2. Step 2: Convert to fraction form
    20,908.32/31,363.44 = 7,057.44/x
  3. Step 3: Cross multiply
    20,908.32x = 31,363.44 × 7,057.44
  4. Step 4: Simplify right side
    20,908.32x = 221,345,595.99
  5. Step 5: Solve for x
    x = 221,345,595.99/20,908.32
  6. Step 6: Final answer
    x = 10,586.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.